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Finding the Fourth Proportional to 166,891.16, 230,340.03 and 106,480.55

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Solution

The fourth proportional to 166,891.16, 230,340.03 and 106,480.55 is: 146,962.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,891.16 : 230,340.03 = 106,480.55 : x
  2. Step 2: Convert to fraction form
    166,891.16/230,340.03 = 106,480.55/x
  3. Step 3: Cross multiply
    166,891.16x = 230,340.03 × 106,480.55
  4. Step 4: Simplify right side
    166,891.16x = 24,526,733,081.42
  5. Step 5: Solve for x
    x = 24,526,733,081.42/166,891.16
  6. Step 6: Final answer
    x = 146,962.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.